# Optical soliton solutions of the generalized sine-Gordon equation

## Keywords:

trial equation method, elliptic function solution, soliton solution## Abstract

In this study, the extended trial equation method based on the general form of the nonlinear elliptic ordinary differential equation is

employed to solve the nonlinear generalized sine-Gordon equations. By using this method, we achieve, unlike new types of exact wave solutions such as Elliptic-F, Elliptic-E, and Elliptic-Π functions that are known as elliptic integrals.

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*Electron. J. Appl. Math.*, vol. 1, no. 2, pp. 71–86, Sep. 2023.

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Copyright (c) 2023 Electronic Journal of Applied Mathematics

This work is licensed under a Creative Commons Attribution 4.0 International License.

Accepted 2023 Sep 03

Published 2023 Sep 09